On open flat sets in spaces with bipolar comparison

Autor:	Lebedeva, Nina
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We show that if a Riemannian manifold satisfies (3,3)-bipolar comparisons and has an open flat subset then it is flat. The same holds for a version of MTW where the perpendicularity is dropped. In particular we get that the (3,3)-bipolar comparison is strictly stronger than the Alexandrov comparison.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.02708 Zobrazit plný text záznamu View this record from Arxiv